Small-Signal Stability Analysis for Multi-Machine Power Systems

When performing small-signal stability analysis on multi-machine power systems, eigenvalue and eigenvector calculations can be employed to obtain more detailed results. In practical implementation, this typically involves linearizing the system differential-algebraic equations around an operating point and solving the state matrix using computational methods like QR algorithm or Arnoldi iteration for large-scale systems. Furthermore, the analysis process must account for various factors including but not limited to system electrical characteristics, load dynamics, and operational states of different equipment. Key MATLAB functions such as eig() for eigenvalue computation or specialized toolboxes like PST (Power System Toolbox) can facilitate this analysis. Only by comprehensively considering these factors through systematic parameterization and sensitivity studies can accurate and reliable conclusions be drawn. Therefore, conducting small-signal stability analysis requires thorough and meticulous research, incorporating numerical stability checks and validation against time-domain simulations to ensure scientific credibility of the results.